Pith Number

pith:XDTQIIBJ

pith:2012:XDTQIIBJQYOF6QSJYHMW3R7ABV

not attested not anchored not stored refs pending

Strong local survival of branching random walks is not monotone

Daniela Bertacchi, Fabio Zucca

arxiv:1208.4010 v3 · 2012-08-20 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDTQIIBJQYOF6QSJYHMW3R7ABV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:26:52.882985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e7042029861c5f4249c1d96dc7e00d502ce0cdde466d8719a38020386d9516

Aliases

arxiv: 1208.4010 · arxiv_version: 1208.4010v3 · doi: 10.48550/arxiv.1208.4010 · pith_short_12: XDTQIIBJQYOF · pith_short_16: XDTQIIBJQYOF6QSJ · pith_short_8: XDTQIIBJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XDTQIIBJQYOF6QSJYHMW3R7ABV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b8e7042029861c5f4249c1d96dc7e00d502ce0cdde466d8719a38020386d9516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5edd0d0a3e6366b8c79be135d78140e685c324d4612c4f6c91f55e756620c848",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-20T13:58:43Z",
    "title_canon_sha256": "da3b76c49327ade451269475ff73c55d292846715138fa4b55ac9405cf72c91a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4010",
    "kind": "arxiv",
    "version": 3
  }
}